Answer:
1/8
Step-by-step explanation:
To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.
We can then rewrite the square root terms as follows:
√3/√8 = √(3) / √(2 * 2 * 2)
Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:
√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)
Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:
√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2
Finally, we can use the rules of division to simplify the expression even further:
√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)
Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:
√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8
Therefore, the simplified form of the expression √3/√8 is 1/8.
Answer:
The answer is D.
Step-by-step explanation:
Answer:
slope = 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (3, 8)
m = 
= 
= 3
Answer:
x intercept (3,0)
y intercept (0,-3)
Step-by-step explanation:
Answer:
A negative number squared is a positive number. Squaring is multiplying a number by its self.
Step-by-step explanation:
X^2 = x * x
Squaring something is just multiplying it by its self.
A negative times a negative = a positive
A positive times a positive = a positive
A negative times a positive = a negative
A positive times a negative = a negative
- * - = +
+ * + = +
- * + = -
+ * - = -
Here is how my 6th grade teacher helped me to remember it:
If something bad (-) happens to a bad guy (-), that is good.
If something good (+) happens to a good guy (+), that is good.
If something bad (-) happens to a good guy (+), that is bad.
If something good (+) happens to a bad guy (-), that is bad.
I hope I helped!
Let me know if you need anything else!
~ Zoe
